Question

triangle ABC , right angled at B , if tan A = 1/√3 , Then prove that
Sin A cos C + sin C Cos A =
Cos A Cos C - Sin A cos C is right or wrong ​​

Answer 1

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Answer 2

Step-by-step explanation:

10th

Maths

Introduction to Trigonometry

Trigonometric Ratios

In triangle ABC , right - a...

MATHS

In triangle ABC, right-angled at B, if tanA=

3

1

, find the value of:

(i) sinAcosC+cosAsinC

(ii) cosAcosC−sinAsinC

MEDIUM

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VIDEO EXPLANATION

ANSWER

In △ABC,

∠B=90

o

, tanA=

3

1

=

AB

BC

Let BC =1x,AB=

3

x

AC

2

=AB

2

+BC

2

AC

2

=(

3

x)

2

+(x)

2

=4x

2

AC=2x

(i) sinAcosC+cosAsinC=

2

1

×

2

1

+

2

3

×

2

3

=

4

1

+

4

3

=1

(ii) cosAcosC−sinAsinC=

2

3

×

2

1

−

2

1

×

2

3

=

4

3

−

4

3

=0